## Elementary Mathematical Models

Mathematical Methods for Science and Computing
http://grace.evergreen.edu/mon
Sherri Shulman

This 4 credit component covers Elementary Mathematical Models. We will be using the textbook: Elementary Mathematical Models by Dan Kalman. ( Elementary Math Models website ). This text examines data to understand its patterns and to find mathematical models that match the data, allowing us to draw conclusions based on the models. We will use numerical and graphical methods and explore the idea of expressing the solution to difference equations as functions. We will explore how those functions can be used to answer questions about the model. The goal of the class is to understand how the mathematical models can answer questions about real problems.

Class activites will include mathematical reading, discussion, problem solving, short essays, and presentations.

If needed, we will schedule a weekly problem solving session with our teaching assitant (to be determined) I encourage everyone to make use of study groups and the QRC for additional help.

All homework given in week n is due on Tuesday of week n+1. So homework assigned in week 1 is due on Tuesday of week 2.

### Schedule of Math Readings and Math assignments

1 Math assessment test and review, Chap 1
• Ch 1 Reading Comprehension (RC) 1-3
• Ch 1 Problems in Context (PC) 1-3
• Complete your take-home assessment test.
2 Ch 2 (Sequences and Difference Eqns
• Ch 2 RC 1,3,4,5,6
• Ch 2 Mathematical Skills (MS) 2,3,5,7
• Ch 2 PC 1-10
3 Ch 3 (Arithmetic Growth) !
• RC: write a paragraph on problem 1 or 2
• Problems MS 1, 2(opt), 3,6
• Problems PC 1-5
4 Ch 4 (Linear Functions and Equations
• Present the results of your group project on Tues: make sure you address all aspects mentioned in the description.
• Write a paragraph on RC 2.
• Problems: RC 3,5,7,8,9,11,12
• Problems: MS 1d,2a-f,3b,4b
• Problems: PC 1,3,5
• RC: write a paragraph on RC 7
• Problems RC 1,3,5,6,7,9
• Problems MS 2,4,6,8,10,12,17,18
• Problems PC 1,3,5,6
• Exam next week on THURSDAY !! covering chapters 1-5
6 Review chap 1-5 and test on Tuesday
6 Ch 6 (Quadratic Functions and Equations) Note we will not spend the whole week on Ch 6!
• Write a paragraph on RC problem 1.
• Problems RC: 2-5
• Problems MS: 1-5
• Problems PC: 1,2,4,6

7 Ch 9 (Geometric Growth)
• Write a paragraph on RC # 1 or 12
• Problems RC: 1,2,6-10,12
• Problems MS: 1-5,8-11,13,15,19,21
• Problems PC: 2,3,9
• EXAM Tues next week Ch 6,9 Kalman. Open book in Class (1 hour only)
8 Ch 10 (Exponential Functions) , Ch 11 pp 233-236 (Logarithms)
• Write a paragraph on RC problem #7.
• Problems RC: 1-11
• Problems MS: 1,2,3,5,7,9,11,12,13
• Problems MS: 1-3 p249.
a site with math tables (including logarithms)
Lecture 10
9-10 Ch 12 (Mixed Models)
• Write a paragraph on RC problem #3.
• Problems RC: 1-6
• Problems MS: 1-3,4
• Problems PC: 2,3,4,6
• Some problems are described as hard - do the best you can.
Lecture 12
10 Ch 13 (Logistic Growth)
• Write a paragraph on RC problem #2.
• Problems RC: 1-7
• Problems MS: 1,3,4,5,6,8,9
• Problems PC: 2
Lecture 13
11 Final exam Comprehensive

Article on the patriot missile error:

• http://www.ima.umn.edu/~arnold/455.f96/disasters.html
• ### Written Assignments

A weekly paragraph on the reading is required: due on the Tuesday following the reading assignment.

All problem homework assignments are due on the Tuesday following the reading assignment. We'll go over selected answers at the start of class on that Tuesday.

### Credit and Evaluation Policy

Credit and evaluations are based on

• Attendance and active participation,
• on time completion of reading and written assignments,
• satisfactory performance on exams.

Credit is awarded on an all or nothing basis and no incompletes will be given. Failure to attend four or more classes is sufficient grounds for loss of credit. Failure to achieve satisfactory results on exams or failure to submit satisfactory written assignments in a timely way is sufficient grounds for loss of credit.